Search a number
-
+
20310111100 = 2252733737459
BaseRepresentation
bin10010111010100100…
…111011001101111100
31221102110001112201001
4102322210323031330
5313043342023400
613155204100044
71316206044616
oct227244731574
957373045631
1020310111100
11868258a094
123b29994624
131bb8a05a26
14da956bdb6
157dd0c5a6a
hex4ba93b37c

20310111100 has 72 divisors (see below), whose sum is σ = 44802462320. Its totient is φ = 7990202880.

The previous prime is 20310111071. The next prime is 20310111103. The reversal of 20310111100 is 111101302.

It is a super-2 number, since 2×203101111002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310111103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719171 + ... + 2726629.

Almost surely, 220310111100 is an apocalyptic number.

20310111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401231160).

20310111100 is an abundant number, since it is smaller than the sum of its proper divisors (24492351220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20310111100 is a wasteful number, since it uses less digits than its factorization.

20310111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 20310111100 its reverse (111101302), we get a palindrome (20421212402).

The spelling of 20310111100 in words is "twenty billion, three hundred ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 373 730 746 1460 1492 1825 1865 3650 3730 7300 7459 7460 9325 14918 18650 27229 29836 37295 37300 54458 74590 108916 136145 149180 186475 272290 372950 544507 544580 680725 745900 1089014 1361450 2178028 2722535 2722900 2782207 5445070 5564414 10890140 11128828 13612675 13911035 27225350 27822070 54450700 55644140 69555175 139110350 203101111 278220700 406202222 812404444 1015505555 2031011110 4062022220 5077527775 10155055550 20310111100